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Math Forum / Math Software / Maple / October 2008An exact simplification challenge - 72 (MeijerG)
Hello, MeijerG[{{1}, {5/4, 7/4}}, {{1/2, 1, 1}, {}}, 1] ? Best wishes, Vladimir Bondarenko Co-founder, CEO, Mathematical Director http://www.cybertester.com/ Cyber Tester Ltd. ------------------------------------------------ "We must understand that technologies like these are the way of the future." ------------------------------------------------ > Hello, > [quoted text clipped - 16 lines] > > ------------------------------------------------ A bit of hint... 4*(Sqrt[1 + Sqrt[2]]*something, something = ? ;) > Hello, > > MeijerG[{{1}, {5/4, 7/4}}, {{1/2, 1, 1}, {}}, 1] > > ? In[137]:= FullSimplify[ RootReduce[ Limit[FunctionExpand[ MeijerG[{{1}, {5/4, 7/4}}, {{1/2, 1, 1}, {}}, x]], x -> 1]]] Out[137]= (2*2^(3/4)*(Sqrt[2 + Sqrt[2]]* ArcTan[Sqrt[2*(1 + Sqrt[2])]] - Sqrt[2 - Sqrt[2]]*Log[1 + Sqrt[2] + Sqrt[2*(1 + Sqrt[2])]]))/ Sqrt[Pi] Cheers, Oleksandr > Best wishes, > [quoted text clipped - 10 lines] > > ------------------------------------------------ sashap schrieb: > In[137]:= FullSimplify[ > RootReduce[ [quoted text clipped - 5 lines] > Sqrt[2 - Sqrt[2]]*Log[1 + Sqrt[2] + Sqrt[2*(1 + Sqrt[2])]]))/ > Sqrt[Pi] The simplifier might have pulled out the factor 2^(1/4) from the nested roots and written this as 4*(Sqrt[Sqrt[2]+1]*A - Sqrt[Sqrt[2]-1]*L)/Sqrt[Pi]. Martin. |
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